Finding the Third Proportional to 46.50 and 85.69

Step by Step Solution

1. Step 1: Write the proportion equation
   46.50 : 85.69 = 85.69 : x
2. Step 2: Convert to fraction form
   46.50/85.69 = 85.69/x
3. Step 3: Cross multiply
   46.50x = 85.69 × 85.69
4. Step 4: Simplify right side
   46.50x = 7,342.35
5. Step 5: Solve for x
   x = 7,342.35/46.50
6. Step 6: Final answer
   x = 157.90